Pith Number

pith:CDGTWBHB

pith:2014:CDGTWBHBRO2BLFXWVHSGPWSX24

not attested not anchored not stored refs pending

The Sums of a Double Hypergeometric Series and of the First m+1 Terms of 3F2(a,b,c;(a+b+1)/2,2c;1) when c = -m is a Negative Integer

Charles F. Dunkl, George Gasper

arxiv:1412.4022 v2 · 2014-12-12 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDGTWBHBRO2BLFXWVHSGPWSX24}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:31:10.605437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10cd3b04e18bb41596f6a9e467da57d738f0782b9dc8aea337362949c834842b

Aliases

arxiv: 1412.4022 · arxiv_version: 1412.4022v2 · doi: 10.48550/arxiv.1412.4022 · pith_short_12: CDGTWBHBRO2B · pith_short_16: CDGTWBHBRO2BLFXW · pith_short_8: CDGTWBHB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CDGTWBHBRO2BLFXWVHSGPWSX24 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 10cd3b04e18bb41596f6a9e467da57d738f0782b9dc8aea337362949c834842b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53b32007334ab468b223b5959e8cd5f1d49741e13785ad0e9a10d2063f3d341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-12-12T15:29:10Z",
    "title_canon_sha256": "5fde0bcac96abdd68e13a01dc402b10ee8820cf290c41e90bad486df9c338025"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4022",
    "kind": "arxiv",
    "version": 2
  }
}